Answer:
Construct the angle bisector of angle Y
Step-by-step explanation:
-An inscribed circle is defined as the largest circle that can be drawn within the boundaries of a plane figure.
-The first step in constructing an inscribed circle is to bisect any two angles of the plane figure, triangle in this case, as there intersection point will form the circle's center.
=>Hence, the first step is Construct the angle bisector of angle Y or Z or X( whichever you decide on).
Answer:
your sister would be 35
Step-by-step explanation:
Answer:
I'm going to paint you a picture in words of what this looks like on paper. We have a train leaving from a point on your paper heading straight west. We have another train leaving from the same point on your paper heading straight east. This is the "opposite directions" that your problem gives you.
Now let's make a table:
distance = rate * time
Train 1
Train 2
We will fill in this table from the info in the problem then refer back to our drawing. It says that one train is traveling 12 mph faster than the other train. We don't know how fast "the other train" is going, so let's call that rate r. If the first train is travelin 12 mph faster, that rate is r + 12. Let's put that into the table
distance = rate * time
Train 1 r
Train 2 (r + 12)
Then it says "after 2 hours", so the time for both trains is 2 hours:
distance = rate * time
Train 1 r * 2
Train 2 (r + 12) * 2
Since distance = rate * time, the distance (or length of the arrow pointing straight west) for Train 1 is 2r. The distance (or length of the arrow pointing straight east) for Train 2 is 2(r + 12) which is 2r + 24. The distance between them (which is also the length of the whole entire arrow) is 232. Thus:
2r + 2r + 24 = 232 and
4r = 208 so
r = 52
This means that Train 1 is traveling 52 mph and Train 2 is traveling 12 miles per hour faster than that at 64 mph
Step-by-step explanation:
Answer:
Laurie
Step-by-step explanation:
Answer:
The lateral surface area of a cuboid is 180 units² .
Option (c) is correct.
Step-by-step explanation:
Formula
Lateral surface area of a cuboid = 2hl + 2hb
Where h is the height , l is the length and b is the breadth.
As shown in the figure.
Length = 4 units
Breadth = 5 units
Height = 10 units
Put in the formula
Lateral surface area of a box = 2 × 10 × 4 + 2 × 10 × 5
= 80 + 100
= 180 units ²
Therefore the lateral area of the cuboid is 180 units² .
Option (c) is correct.
